96301483200 has 1344 divisors, whose sum is σ = 401347228800. Its totient is φ = 22574039040.

The previous prime is 96301483181. The next prime is 96301483231. The reversal of 96301483200 is 238410369.

96301483200 is a `hidden beast` number, since 9 + 630 + 14 + 8 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1319198364 + ... + 1319198436.

It is an arithmetic number, because the mean of its divisors is an integer number (298621450).

Almost surely, 2^96301483200 is an apocalyptic number.

96301483200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96301483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200673614400).

96301483200 is an abundant number, since it is smaller than the sum of its proper divisors (305045745600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96301483200 is a wasteful number, since it uses less digits than its factorization.

96301483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 96301483200 its reverse (238410369), we get a palindrome (96539893569).

The spelling of 96301483200 in words is "ninety-six billion, three hundred one million, four hundred eighty-three thousand, two hundred".